Plywood is to be cured between plates maintained at 105^∘ C by condensing steam. How long will i

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Plywood is to be cured between plates maintained at 105^∘ C...

Plywood is to be cured between plates maintained at $105^{\circ} \mathrm{C}$ by condensing steam. How long will it take to cure a sheet $1 \mathrm{~cm}$ thick if the minimum temperature must reach $95^{\circ} \mathrm{C}$ and its initial temperature is $25^{\circ} \mathrm{C}$ ?

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Key Concepts

Transient Heat Conduction

This concept refers to the process by which heat diffuses through a material as a function of both space and time when subjected to a change in temperature at its boundaries. In problems like this, the analysis involves solving the heat equation with appropriate initial and boundary conditions, allowing the prediction of temperature changes within the material over time.

Thermal Diffusivity

Thermal diffusivity is a material property defined as the ratio of thermal conductivity to the product of density and specific heat capacity. It characterizes how quickly a material can respond to a change in temperature. In transient conduction problems, thermal diffusivity directly influences the time required for a temperature change to penetrate through the material.

Characteristic Time Scale for Heat Penetration

This concept involves estimating the time required for a thermal disturbance to travel a characteristic distance, often approximated by the square of the distance divided by the thermal diffusivity (L²/?). It provides a first?estimate of the time needed for the material's temperature to approach the boundary condition, which is critical in determining curing times or heat treatment durations.

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